Question

The length and the breadth of a rectangular park are in the ratio 5 : 3 and its perimeter is 128 m. Find the area of the park.
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Answer 1

Let the common factor be x

The ration of l:b=5;3

So the length is 5x

The breadth is 3x

The perimeter is 2(l+b)=128

5x+3x=64

8x=64

x=8

So the length is 5(8)=40

The breadth is 3(8)=24

The area is 40×24=960cm² .

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Answer 2

${\fcolorbox{skyblue}{black}{\red{question}}}$

the length and the breadth of a rectangle park are in the ratio 5 : 3 find its perimeter is 128 metre. find the area of the park.

${\fcolorbox{red}{black}{\purple{Answer}}}$

• length = 40m
• breadth = 24m
• area of rectangle = 960m²

given :-

• perimeter of rectangle = 128m
• find length and breadth which is in ratio
• and also fine area of rectangle.

finding length and breadth of rectangle::

let's put X

so, length will be 5x and breadth will be 3x

working here::

>> using formula:

>> perimeter of rectangle = 2(l+b)

so,

$= > \: \: 2(5x + 3x) = 128$

$= > \: 10x + 6x = 128$

$= > \: 16x = 128$

$= > \: x = \frac{128}{16}$

$= > \: x = 8$

so,

==>> length will be = 8×5 = 40m

==>> breadth will be = 8×3 = 24m

hence the length and breadth of rectangle will be 30m and 18m.

now find area of rectangle :-

using formula :-

area of rectangle = (l×b)

so,

$= > (40 \times 24)$

$= > 960 {m}^{2}$

hence the area of rectangle is 960m²

__________________________

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